Yes, exactly — "turn out" in that sentence means "in the end" or "finally, this is what happened."
So when you say:
"It turns out I got the job,"
you mean:
"In the end, I got the job," or
"I found out that I got the job, and that was the result."
It's often used when something is surprising or different from what you expected.
Here are a few more examples:
We thought it would rain, but it turned out to be sunny.
(In the end, it was sunny.)
I didn’t study much, but it turned out the test was easy.
(The test was easy, which was unexpected.)